Borrow it
 Architecture Library
 Bizzell Memorial Library
 Boorstin Collection
 Chinese Literature Translation Archive
 Engineering Library
 Fine Arts Library
 Harry W. Bass Business History Collection
 History of Science Collections
 John and Mary Nichols Rare Books and Special Collections
 Library Service Center
 Price College Digital Library
 Western History Collections
The Resource A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach, by Victor A. Galaktionov, Juan Luis Vázquez, (electronic resource)
A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach, by Victor A. Galaktionov, Juan Luis Vázquez, (electronic resource)
Resource Information
The item A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach, by Victor A. Galaktionov, Juan Luis Vázquez, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach, by Victor A. Galaktionov, Juan Luis Vázquez, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 common feature is that these evolution problems can be formulated as asymptoti cally small perturbations of certain dynamical systems with betterknown behaviour. Now, it usually happens that the perturbation is small in a very weak sense, hence the difficulty (or impossibility) of applying more classical techniques. Though the method originated with the analysis of critical behaviour for evolu tion PDEs, in its abstract formulation it deals with a nonautonomous abstract differ ential equation (NDE) (1) Ut = A(u) + C(u, t), t > 0, where u has values in a Banach space, like an LP space, A is an autonomous (timeindependent) operator and C is an asymptotically small perturbation, so that C(u(t), t) ~ ° as t ~ 00 along orbits {u(t)} of the evolution in a sense to be made precise, which in practice can be quite weak. We work in a situation in which the autonomous (limit) differential equation (ADE) Ut = A(u) (2) has a wellknown asymptotic behaviour, and we want to prove that for large times the orbits of the original evolution problem converge to a certain class of limits of the autonomous equation. More precisely, we want to prove that the orbits of (NDE) are attracted by a certain limit set [2* of (ADE), which may consist of equilibria of the autonomous equation, or it can be a more complicated object
 Language

 eng
 eng
 Edition
 1st ed. 2004.
 Extent
 1 online resource (XIX, 377 p.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 Introduction: A Stability Approach and Nonlinear Models
 Stability Theorem: A Dynamical Systems Approach
 Nonlinear Heat Equations: Basic Models and Mathematical Techniques
 Equation of Superslow Diffusion
 Quasilinear Heat Equations with Absorption. The Critical Exponent
 Porous Medium Equation with Critical Strong Absorption
 The Fast Diffusion Equation with Critical Exponent
 The Porous Medium Equation in an Exterior Domain
 Blowup FreeBoundary Patterns for the NavierStokes Equations
 The Equation ut = uxx + uln2u: Regional Blowup
 Blowup in Quasilinear Heat Equations Described by HamiltonJacobi Equations
 A Fully Nonlinear Equation from Detonation Theory
 Further Applications to Second and HigherOrder Equations
 References
 Index
 Isbn
 9781461220503
 Label
 A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach
 Title
 A Stability Technique for Evolution Partial Differential Equations
 Title remainder
 A Dynamical Systems Approach
 Statement of responsibility
 by Victor A. Galaktionov, Juan Luis Vázquez
 Language

 eng
 eng
 Summary
 common feature is that these evolution problems can be formulated as asymptoti cally small perturbations of certain dynamical systems with betterknown behaviour. Now, it usually happens that the perturbation is small in a very weak sense, hence the difficulty (or impossibility) of applying more classical techniques. Though the method originated with the analysis of critical behaviour for evolu tion PDEs, in its abstract formulation it deals with a nonautonomous abstract differ ential equation (NDE) (1) Ut = A(u) + C(u, t), t > 0, where u has values in a Banach space, like an LP space, A is an autonomous (timeindependent) operator and C is an asymptotically small perturbation, so that C(u(t), t) ~ ° as t ~ 00 along orbits {u(t)} of the evolution in a sense to be made precise, which in practice can be quite weak. We work in a situation in which the autonomous (limit) differential equation (ADE) Ut = A(u) (2) has a wellknown asymptotic behaviour, and we want to prove that for large times the orbits of the original evolution problem converge to a certain class of limits of the autonomous equation. More precisely, we want to prove that the orbits of (NDE) are attracted by a certain limit set [2* of (ADE), which may consist of equilibria of the autonomous equation, or it can be a more complicated object
 http://library.link/vocab/creatorName
 Galaktionov, Victor A
 Dewey number
 515.353
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 8oSqLadZ_SQ
 n1LiqZEdZWA
 Image bit depth
 0
 Language note
 English
 LC call number
 QA370380
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Vázquez, Juan Luis.
 Series statement
 Progress in Nonlinear Differential Equations and Their Applications,
 Series volume
 56
 http://library.link/vocab/subjectName

 Differential equations, partial
 Global analysis (Mathematics)
 Mechanics
 Mechanics, Applied
 Hydraulic engineering
 Partial Differential Equations
 Analysis
 Solid Mechanics
 Engineering Fluid Dynamics
 Label
 A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach, by Victor A. Galaktionov, Juan Luis Vázquez, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Introduction: A Stability Approach and Nonlinear Models  Stability Theorem: A Dynamical Systems Approach  Nonlinear Heat Equations: Basic Models and Mathematical Techniques  Equation of Superslow Diffusion  Quasilinear Heat Equations with Absorption. The Critical Exponent  Porous Medium Equation with Critical Strong Absorption  The Fast Diffusion Equation with Critical Exponent  The Porous Medium Equation in an Exterior Domain  Blowup FreeBoundary Patterns for the NavierStokes Equations  The Equation ut = uxx + uln2u: Regional Blowup  Blowup in Quasilinear Heat Equations Described by HamiltonJacobi Equations  A Fully Nonlinear Equation from Detonation Theory  Further Applications to Second and HigherOrder Equations  References  Index
 Dimensions
 unknown
 Edition
 1st ed. 2004.
 Extent
 1 online resource (XIX, 377 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461220503
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461220503
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000089817
 (SSID)ssj0001298525
 (PQKBManifestationID)11766360
 (PQKBTitleCode)TC0001298525
 (PQKBWorkID)11242219
 (PQKB)11197277
 (DEHe213)9781461220503
 (MiAaPQ)EBC3076669
 (EXLCZ)993400000000089817
 Label
 A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach, by Victor A. Galaktionov, Juan Luis Vázquez, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 Introduction: A Stability Approach and Nonlinear Models  Stability Theorem: A Dynamical Systems Approach  Nonlinear Heat Equations: Basic Models and Mathematical Techniques  Equation of Superslow Diffusion  Quasilinear Heat Equations with Absorption. The Critical Exponent  Porous Medium Equation with Critical Strong Absorption  The Fast Diffusion Equation with Critical Exponent  The Porous Medium Equation in an Exterior Domain  Blowup FreeBoundary Patterns for the NavierStokes Equations  The Equation ut = uxx + uln2u: Regional Blowup  Blowup in Quasilinear Heat Equations Described by HamiltonJacobi Equations  A Fully Nonlinear Equation from Detonation Theory  Further Applications to Second and HigherOrder Equations  References  Index
 Dimensions
 unknown
 Edition
 1st ed. 2004.
 Extent
 1 online resource (XIX, 377 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461220503
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461220503
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000089817
 (SSID)ssj0001298525
 (PQKBManifestationID)11766360
 (PQKBTitleCode)TC0001298525
 (PQKBWorkID)11242219
 (PQKB)11197277
 (DEHe213)9781461220503
 (MiAaPQ)EBC3076669
 (EXLCZ)993400000000089817
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/AStabilityTechniqueforEvolutionPartial/PPQw6P0KT60/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/AStabilityTechniqueforEvolutionPartial/PPQw6P0KT60/">A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach, by Victor A. Galaktionov, Juan Luis Vázquez, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach, by Victor A. Galaktionov, Juan Luis Vázquez, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/AStabilityTechniqueforEvolutionPartial/PPQw6P0KT60/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/AStabilityTechniqueforEvolutionPartial/PPQw6P0KT60/">A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach, by Victor A. Galaktionov, Juan Luis Vázquez, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>